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Finding the Third Proportional to 1,275,590 and 1,974,999

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Solution

The third proportional to 1,275,590 and 1,974,999 is: 3,057,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,590 : 1,974,999 = 1,974,999 : x
  2. Step 2: Convert to fraction form
    1,275,590/1,974,999 = 1,974,999/x
  3. Step 3: Cross multiply
    1,275,590x = 1,974,999 × 1,974,999
  4. Step 4: Simplify right side
    1,275,590x = 3,900,621,050,001
  5. Step 5: Solve for x
    x = 3,900,621,050,001/1,275,590
  6. Step 6: Final answer
    x = 3,057,895.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.